The high Peak-to-Average-Power ratio (PAR) of Orthogonal Frequency Division Multiplexing (OFDM) transmission systems has become a significant issue in the design of modern multicarrier systems. One of the earliest and most popular techniques is tone reservation [1], where a set of unused tones (or specially reserved-tones) are exploited to generate time-domain signals to reduce the signal peaks...

17 Remark 2 We cannot characterize so far all L evy processes for which Theorem 3.2 holds. However, the present argument given for that theorem easily shows that its statement holds when, say, + is equivalent to the tail of a distribution in S(), and 0 is of a smaller order. Then, in particular, lim x!1 P R T 0 jX(t)jdt > x A + () T ~ + (x=T) = T : (3:30) The case when 0 is equivalent to the ta...

• Analyzed nine years (2010–2018) of fatal HRGC crashes. Applied multivariable graphical method TCA to perform pattern recognition. Identified six clusters risk factors. Crashes at highway rail grade crossings (HRGCs) are often involved with fatalities due the momentum a train. This study collected crashes from Fatality Analysis Reporting System (FARS) analysis. The Taxicab Correspondence (TCA)...

The aim of this paper is to unify interchange theorems and extend them to hypergraphs. To this end sufficient conditions for equality of the l1-distance between equivalence classes and the l1-distance between corresponding order-type functions are provided. The generality of this result is demonstrated by a number of new corollaries concerning the factorization and the switching completeness of...

Modern day computer graphics are capable of generating highly photorealistic images resulting in challenging legal situations. For example, as a result of a 2002 U.S. Supreme Court ruling, computer generated child pornography is protected speech, while pornographic photographs depicting an actual child remains illegal. The ability to distinguish between protected and illegal material assumes th...

Lattices have been used in several problems in coding theory and cryptography. In this paper we approach q-ary lattices obtained via Constructions D, D′ and D. It is shown connections between Constructions D and D′. Bounds for the minimum l1-distance of lattices ΛD, ΛD′ and ΛD and, under certain conditions, a generator matrix for ΛD′ are presented. In addition, when the chain of codes used is c...

It was shown in a previous work that some blind methods can be made robust to channel order overmodeling by using the l1 or lp quasi-norms. However, no theoretical argument has been provided to support this statement. In this work, we study the robustness of subspace blind based methods using l1 or lp quasi-norms. For the l1 norm, we provide the sufficient and necessary condition that the chann...

For a general multirate SD (sampled-data) system, we characterize explicitly the set of all causal, stabilizing controllers that achieve a certain H 1 norm bound; moreover, we give explicitly a particular controller that further minimizes an entropy function for the SD system. The characterization lays the groundwork for synthesizing multirate control systems with multiple/mixed control speciic...

In the hard pulse approximation, commonly used in nuclear magnetic resonance, one considers potentials for the AKNS system that are sums of δ-functions. The system of differential equations does not, strictly speaking make sense for such potentials. In [8] an analogous discrete forward and inverse problem are analyzed. We review these results and show that pulses obtained using the inverse scat...

This paper presents a method for fast planning within arbitrary maps, through segmentation of the map into Manhattan-cohesive areas. A Manhattan-cohesive area is a connected part of the map where the optimal distance between any two points in the area is equal to their Manhattan distance. We adopt a four directions Manhattan distance, where diagonal moves are allowed. In the paper we present th...